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Finding the Fourth Proportional to 209,807.44, 314,985.51 and 124,573.87

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Solution

The fourth proportional to 209,807.44, 314,985.51 and 124,573.87 is: 187,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.44 : 314,985.51 = 124,573.87 : x
  2. Step 2: Convert to fraction form
    209,807.44/314,985.51 = 124,573.87/x
  3. Step 3: Cross multiply
    209,807.44x = 314,985.51 × 124,573.87
  4. Step 4: Simplify right side
    209,807.44x = 39,238,963,974.62
  5. Step 5: Solve for x
    x = 39,238,963,974.62/209,807.44
  6. Step 6: Final answer
    x = 187,023.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.